Partial Integral Operators and Integro-Differential Equations

Pure and Applied Mathematics

AvJurgen Appell,Anatolij Kalitvin

E-bok

Engelska, 2000

Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

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Beskrivning

A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linea

Produktinformation

Utgivningsdatum:2000-02-29
Språk:Engelska
Filformat:EPUB
Kopieringsskydd:LCP
ISBN:9781040214565
Förlag:Taylor & Francis Ltd
Serie:Chapman & Hall/CRC Pure and Applied Mathematics

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Jurgen Appell, Anatolij Kalitvin, Petr Zabrejko

Innehållsförteckning

Equations of Barbashin type: differential equations in Banach spaces; Barbashin equations in the space C; Barbashin equations in Lebesgue spaces; Barbashin equations in ideal spaces. Theory of linear Barbashin equations: stability of solutions; continuous dependence on parameters; bounded and periodic solutions; degenerate kernels; stationary boundary value problems; non-stationary boundary value problems; general properties; operators in spaces with mixed norm; partial integral operators in the space C; spectral properties; linear partial integral equations. Generalizations and applications: generalized equations of Barbashin type; nonlinear equations and operators; the Newton-Kantorovich method; applications of Barbashin equations; applications of partial integral equations.